Find the inverse of the following function. Find the domain, range, and asymptotes of each function.

Question

Graph both functions on the same coordinate plane
-x/3
f(x)=4+e
( if this makes sense, not sure how else to show it. the -x/3 is after the e like -x/3 to the power of e)

please help me! show steps also, if i an just given an answer that wont help me! thanks in advance!!!

Answer 1

y = 4+e^-x/3
y-4 = e^-x/3
ln(y-4) = -x/3
x = -3ln(y-4)

so, f inverse = -3ln(x-4)

for domain, recall that ln(u) is defined only for u>0

domain for exponentials and range for logs is all reals